Answer:
80°
Step-by-step explanation:
diameters intersect at centre so measure of arc is the angle at the centre.
so x=80°
The measure of angle BQ is 100°.
In plane geometry, "a figure is formed by two ray or lines that shares a common end point" is called angle.
According to the question,
AQ and BR are diameters of circle O. the measure of minor arc AB angle is 80°. In order to find the value x.
We know that ∠AQ = 180° and given ∠AB = 80° [The measure of minor arc AB is 80°]
Measure of ∠AQ = Measure of ∠AB + Measure of ∠BQ
180° = 80° + Measure of ∠BQ
Measure of ∠BQ = 180° - 80°
= 100°
Hence, the measure of ∠BQ = 100°.
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